So when Ampere sent that mental plea to him that he watch the other challenge, the one that carried more weight for the herd, but less weight for her heart, Kygo was eager to oblige. Even after all these seasons of their embittered, wrapped up, coexistence, he only ever wanted to please her. There were moments of course where he derives pleasure from purposefully pushing her buttons, if only because it was some form of interaction, but he'd never leave her. He couldn't, she was his one and only flock, and for better or for worst he knew she cared about him and he her.
It might seem odd, it certainly did to Ampere, that he would stick around after all her clear attempts at ridding herself of him. Part of it was fear of the unknown, as Ampere assumed, because at least he knew Ampere, at least he knew how to deal with her sharp edges and her rage and her isolation. Maybe it was better out there without her, but maybe it was worse too, and that unknown was scary. The other big part of it though was him holding onto hope that one day she would love him and accept him. He thought, if she just gave him a chance to prove his worth, if she would just let him in, just once, that he could earn it. He could rectify the weight of the bond that she shouldered as if it were the world, because he could make other aspects of her life easier. If she would just use him, then maybe she would recognize that he didn't mind being used, because this was a partnership after all and not just a forced farce of caring. When you have a friend, a true friend, you're supposed to help each other when you need it, because no one can take on the world alone.
Thus, Kygo jumped at her need, and flapped as quick as his little green wings would carry him to a nearby cactus where Aithniel and Sikeax squared off. Beady eyes watched the beginning, snapshots of it and some verbal exchanges passing through the lines between his and Ampere's soul, as it did between Astraeus and Sohalia.
This is Ampere's companion, Kygo, watching the fight :)